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Given the velocity potential for a 2-D incompressible flow, (x, y) = xy + x2 -...
Given the velocity potential for a 2-D incompressible flow, (x, y) = xy + x2 - y2 (a) Does the potential satisfy the Laplace Equation (i.e. V20 = 0)? What is the physical intepretation of this? (b) Find u(x,y) and v(x,y) (the corresponding velocity field of the flow). (c) Does the stream function y (x,y) exist? If so: (a) Find the stream function. (b) Find the implicit equation of streamline that passes through (x,y) = (1, 2).
The equation of electric potential in space is given by: V(x,y,z) = 2xy/x 1. Calculate the...
The equation of electric potential in space is given by: V(x,y,z) = 2xy/x 1. Calculate the electric potential at point (x = 1, y = -2, z = 3) in space. 2. Find the electric field E vector as a function of x, y, z. 3. Calculate the electric field at point (x = 1, y = -2, z = 3) in space.
6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 1...
6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 10 two-dimensional electrostatic systems. The electric potential of V(x,y) is expressed by the following equation: nrty Vo ov ov ov
6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 10 two-dimensional electrostatic systems. The electric potential of V(x,y) is expressed by the following equation: nrty Vo ov ov ov
1l] A particle with mass m and energy E is inside a square tube with infinite potential barriers at x-o, x-a, y 0,...
1l] A particle with mass m and energy E is inside a square tube with infinite potential barriers at x-o, x-a, y 0, y a. The tube is infinitely long in the +z-direction. (a) Solve the Schroedinger equation to derive the allowed wave functions for this particle. Do not try to normalize the wave functions, but make sure they correspond to motion in +2-direction. (b) Determine the allowed energies for such a particle. (c) If we were to probe the...
A particle of mass m is in a potential energy field described by, V(x, y) =...
A particle of mass m is in a potential energy field described by, V(x, y) = 18kx² +8ky? where k is a positive constant. Initially the particle is resting at the origin (0,0). At time t = 0 the particle receives a kick that imparts to it an initial velocity (vo, 2vo). (a) Find the position of the particle as a function of time, x(t) and y(t). (b) Plot the trajectory for this motion (Lissajous figure) using Vo = 1,...
The electric potential over a certain region of space is given by V = a x?...
The electric potential over a certain region of space is given by V = a x? y – bxz – cy?, where a = 8 V/mº, b = 6 V/m², and c = 3 V/m². Find the electric potential at the point (x, y, z) = (1 m, 6 m, 6 m). Answer in units of V. 008 (part 2 of 4) 10.0 points Find the x-component of the electric field at the same point. Answer in units of V/m....
PLEASE HELP! ! In a square 2m × 2m region of space the electric potential, V(x,...
PLEASE HELP! !
In a square 2m × 2m region of space the electric potential, V(x, y,
z), is well described by the function V (x, y, z)=Ax^2y+By. A and B
are constants with A=2.0 V/m^3 and B=3.0 V/m. The diagram below
shows a contour plot of V (x, y, z) in the x-y plane.
Physies 151 Name In a square 2mx2m region of space the electric potential, P(x, y,z), is well described by the function v,ya)-Axy+By. A and B...
1. Consider a 1D finite square well potential defined as follows. Vo-a<x<a V(x) = 0otherwise a)...
1. Consider a 1D finite square well potential defined as follows. Vo-a<x<a V(x) = 0otherwise a) What are the energy eigenfunctions n of the Hamiltonian for a single particle bound in this potential? You may write your answer in piece-wise form, with an arbitrary normalization. b) Derive the characteristic equation that the energy eigenvalues E, must satisfy in order to satisfy the eigenvalue equation Hy,-EnUn for eigen function Un c) Write a computer program1 to find the eigenvalues E, for...
The electric potential in a region is given by V = 5.00*x^3*y^2*z , where V is...
The electric potential in a region is given by V = 5.00*x^3*y^2*z , where V is in volts, and coordinates x, y, and z are in meters. Determine the electric field at the point (2.00ˆi − 3.00ˆj − 4.00kˆ ) m . These are my teachers requirements if you could please follow them I would really appreciate it thank you :) In addition to being neat and clear, and actually answering the question, you must: 1) show the original principle...
Q3. For the system in Figure 3 where and θ2 are the rotational angles, and are the rotary inertias of the two disks with radius r and 2r, respectively, 2r (1) Find its total kinetic energy, total pot...
Q3. For the system in Figure 3 where and θ2 are the rotational angles, and are the rotary inertias of the two disks with radius r and 2r, respectively, 2r (1) Find its total kinetic energy, total potential energy and Lagrangian in terms of, and (2) Derive the equations of motion using Lagrangian equation method, (3) Put the equations of motion in matrix form, and (4) Calculate the natural frequencies and the associated mode shapes if m-30 g, 4-8 x...
Given the velocity potential for a 2-D incompressible flow, (x, y) = xy + x2 - y2 (a) Does the potential satisfy the Laplace Equation (i.e. V20 = 0)? What is the physical intepretation of this? (b) Find u(x,y) and v(x,y) (the corresponding velocity field of the flow). (c) Does the stream function y (x,y) exist? If so: (a) Find the stream function. (b) Find the implicit equation of streamline that passes through (x,y) = (1, 2).
6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 10 two-dimensional electrostatic systems. The electric potential of V(x,y) is expressed by the following equation: nrty Vo ov ov ov
6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 10 two-dimensional electrostatic systems. The electric potential of V(x,y) is expressed by the following equation: nrty Vo ov ov ov
1l] A particle with mass m and energy E is inside a square tube with infinite potential barriers at x-o, x-a, y 0, y a. The tube is infinitely long in the +z-direction. (a) Solve the Schroedinger equation to derive the allowed wave functions for this particle. Do not try to normalize the wave functions, but make sure they correspond to motion in +2-direction. (b) Determine the allowed energies for such a particle. (c) If we were to probe the...
A particle of mass m is in a potential energy field described by, V(x, y) = 18kx² +8ky? where k is a positive constant. Initially the particle is resting at the origin (0,0). At time t = 0 the particle receives a kick that imparts to it an initial velocity (vo, 2vo). (a) Find the position of the particle as a function of time, x(t) and y(t). (b) Plot the trajectory for this motion (Lissajous figure) using Vo = 1,...
The electric potential over a certain region of space is given by V = a x? y – bxz – cy?, where a = 8 V/mº, b = 6 V/m², and c = 3 V/m². Find the electric potential at the point (x, y, z) = (1 m, 6 m, 6 m). Answer in units of V. 008 (part 2 of 4) 10.0 points Find the x-component of the electric field at the same point. Answer in units of V/m....
PLEASE HELP! !
In a square 2m × 2m region of space the electric potential, V(x, y,
z), is well described by the function V (x, y, z)=Ax^2y+By. A and B
are constants with A=2.0 V/m^3 and B=3.0 V/m. The diagram below
shows a contour plot of V (x, y, z) in the x-y plane.
Physies 151 Name In a square 2mx2m region of space the electric potential, P(x, y,z), is well described by the function v,ya)-Axy+By. A and B...
1. Consider a 1D finite square well potential defined as follows. Vo-a<x<a V(x) = 0otherwise a) What are the energy eigenfunctions n of the Hamiltonian for a single particle bound in this potential? You may write your answer in piece-wise form, with an arbitrary normalization. b) Derive the characteristic equation that the energy eigenvalues E, must satisfy in order to satisfy the eigenvalue equation Hy,-EnUn for eigen function Un c) Write a computer program1 to find the eigenvalues E, for...
Q3. For the system in Figure 3 where and θ2 are the rotational angles, and are the rotary inertias of the two disks with radius r and 2r, respectively, 2r (1) Find its total kinetic energy, total potential energy and Lagrangian in terms of, and (2) Derive the equations of motion using Lagrangian equation method, (3) Put the equations of motion in matrix form, and (4) Calculate the natural frequencies and the associated mode shapes if m-30 g, 4-8 x...
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